%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : LCL644+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 01:32:32 PM UTC 2026 % Result : Theorem 0.24s 0.56s % Output : Proof 0.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : LCL644+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.06 % Command : run_zenon %s %d % 0.16/0.43 % Computer : n004.cluster.edu % 0.16/0.43 % Model : x86_64 x86_64 % 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.43 % Memory : 8046.5625MB % 0.16/0.43 % OS : Linux 6.8.0-71-generic % 0.16/0.43 % CPULimit : 300 % 0.16/0.43 % WCLimit : 300 % 0.16/0.43 % DateTime : Sat Sep 5 05:00:14 UTC 2026 % 0.16/0.43 % CPUTime : % 0.24/0.56 (* PROOF-FOUND *) % 0.24/0.56 % SZS status Theorem % 0.24/0.56 (* BEGIN-PROOF *) % 0.24/0.56 % SZS output start Proof % 0.24/0.56 Theorem main : (~(exists X : zenon_U, (~((~((forall Y : zenon_U, ((~(r1 X Y))\/((~((p2 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))))\/(p1 Y))))\/((forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~((p1 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))/\(p1 Y)))))))\/(~((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/((~((p2 X)/\(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))))\/(p1 X))))\/((p2 Y)\/(~((p1 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))/\(p1 Y))))))))/\((forall Y : zenon_U, ((~(r1 X Y))\/((~((p2 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))))\/((p1 Y)\/(forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~((p1 X)/\((forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))/\(p1 X)))))))))))/\(forall Y : zenon_U, ((~(r1 X Y))\/((~((p2 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))))\/((p1 Y)\/((p2 Y)\/(~((p1 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))/\(p1 Y)))))))))))))))\/((forall Y : zenon_U, ((~(r1 X Y))\/((p1 Y)\/(~((forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))/\(p1 Y))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/((p1 Y)\/(~((forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))/\(p1 Y))))))))))). % 0.24/0.56 Proof. % 0.24/0.56 apply NNPP. intro zenon_G. % 0.24/0.56 apply zenon_G. zenon_intro zenon_H1. % 0.24/0.56 elim zenon_H1. zenon_intro zenon_TX_c. zenon_intro zenon_H3. % 0.24/0.56 apply (zenon_notor_s _ _ zenon_H3). zenon_intro zenon_H5. zenon_intro zenon_H4. % 0.24/0.56 apply (zenon_notor_s _ _ zenon_H4). zenon_intro zenon_H6. zenon_intro zenon_H6. % 0.24/0.56 apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_c Y))\/((p1 Y)\/(~((forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))/\(p1 Y)))))) zenon_H6); [ zenon_intro zenon_H7; idtac ]. % 0.24/0.56 elim zenon_H7. zenon_intro zenon_TY_i. zenon_intro zenon_H9. % 0.24/0.56 apply (zenon_notor_s _ _ zenon_H9). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.24/0.56 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.24/0.56 apply zenon_Hc. zenon_intro zenon_He. % 0.24/0.56 apply (zenon_and_s _ _ zenon_He). zenon_intro zenon_H10. zenon_intro zenon_Hf. % 0.24/0.56 exact (zenon_Hd zenon_Hf). % 0.24/0.56 Qed. % 0.24/0.56 % SZS output end Proof % 0.24/0.56 (* END-PROOF *) % 0.24/0.56 nodes searched: 6 % 0.24/0.56 max branch formulas: 11 % 0.24/0.56 proof nodes created: 6 % 0.24/0.56 formulas created: 174 % 0.24/0.56 %------------------------------------------------------------------------------